1.3 ReflectionsTODAY I WILL BE ABLE TO REFLECT AN OBJECT OVER AN X OR Y AXIS

Activity• Each person will be receiving a picture

• You need to (individually) 2 minutes• Write down things you notice about the picture.

• Use a ruler

• Draw on the pictures with a white board pen

•Discuss with your group what you discovered(2 minutes)

Using your picture…

•Draw the line of reflection

•What do you notice about the distance of the reflections?

Reflections Just take a figure and flip it over a given axis

Patty Paper Exercise

• Given the figure use the patty paper to reflect over the line

Steps

1. Place patty paper over the coordinate plane

2. Trace the figure and the line of reflection

3. Flip Patty Paper over the line of reflection

4. Re-Trace the figure onto the graph(pressing hard)

The NEED to know of REFLECTIONS

• X=____ is a VERTICAL line through what x equals

• Example x= 3

• y=____ is a HORIZONTAL line through what y equals

• Example y= -5

Reflecting objects

Reflections over a Horizontal/Vertical line

PRETTY STRAIGHT FORWARD…. COUNT HOW FAR EACH POINT IS FROM THE LINE, THEN COUNT THE SAME DISTANCE AWAY…. EASY

Now how to reflect an object• First always look at the line you are reflecting an object over and draw

that line of the graph.

• Reflect over the x-axis

Think as if you were folding the paper and this line and the

object was wet paint.. Where would it end up?

OYO- Student volunteer/told

You reflect the point (-3,4) over the line y=1. Where does your reflected point land?

HOMEWORK

1.3 DAY 1

REFLECTIONS DAY 2TODAY I WILL UNDERSTAND HOW TO REFLECT AN OBJECT OVER A LINE

WITH A SLOPE OF 1 OR -1

Remember how to graph….

• Y=4 x=3

Remember how to graph…

• Y= 2x +1

X Y

-2

-1

0

1

-3-113

The NEED to know of REFLECTIONS

Can we graph y=x?

The NEED to know of REFLECTIONSx=y

If we don’t know how to graph something… Make a table

x y

1

2

3

4

5

The NEED to know of REFLECTIONSx=y

If we don’t know how to graph something… Make a table

x y

1 1

2 2

3 3

4 4

5 5

Using Patty paper, reflect the image over the line y=x

•Can you come up with a way to reflect over y=x without patty paper?

•Double check your ideas by using patty paper.

Reflections over a DIAGONAL “x=y” lineSame rules apply…..but now we count diagonally

Reflections over a DIAGONAL “x=y” lineSame rules apply…..but now we count diagonally

OYO- 2 minsReflect over y=-x

If a Line of reflection goes through the object

Reflections are SIMPLE just think about folding the object over the line of reflection and where the points will end up after you fold the graph.

Homework

1.3 DAY 2 ALL